Solve 7518:21quad

$$7518 : 21 \quad$$

Evaluate

$$358$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7518

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)7518}\\\end{array}$$

Since 7 is less than 21, use the next digit 5 from dividend 7518 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)7518}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 7518

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)7518}\\\end{array}$$

Find closest multiple of 21 to 75. We see that 3 \times 21 = 63 is the nearest. Now subtract 63 from 75 to get reminder 12. Add 3 to quotient.

$$\begin{array}{l}\phantom{21)}03\phantom{4}\\21\overline{)7518}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)}12\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 7518

$$\begin{array}{l}\phantom{21)}03\phantom{5}\\21\overline{)7518}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)}121\\\end{array}$$

Find closest multiple of 21 to 121. We see that 5 \times 21 = 105 is the nearest. Now subtract 105 from 121 to get reminder 16. Add 5 to quotient.

$$\begin{array}{l}\phantom{21)}035\phantom{6}\\21\overline{)7518}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)}121\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}16\\\end{array}$$

Use the 4^{th} digit 8 from dividend 7518

$$\begin{array}{l}\phantom{21)}035\phantom{7}\\21\overline{)7518}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)}121\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}168\\\end{array}$$

Find closest multiple of 21 to 168. We see that 8 \times 21 = 168 is the nearest. Now subtract 168 from 168 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{21)}0358\phantom{8}\\21\overline{)7518}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)}121\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}168\\\phantom{21)}\underline{\phantom{9}168\phantom{}}\\\phantom{21)9999}0\\\end{array}$$

Since 0 is less than 21, stop the division. The reminder is 0. The topmost line 0358 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 358.

$$\text{Quotient: }358 \text{Reminder: }0$$

Factor

$$2\times 179$$